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artcher [175]
2 years ago
6

11. In a gym the ratio of men to women with membership is 5:2. If the gym has 735 persons with membership, how many men will the

re be?
Mathematics
1 answer:
Doss [256]2 years ago
6 0

The ratio is 5:7 when you are dealing with total membership. In other words, out of every 7 members, 5 will be men and 2 will be women

The ratio will look like this

5:7 = x:735             change to a proportion

5/7 = x / 735          Cross Multiply

7*x = 5 * 735          Combine the right

7*x = 3675             Divide by 7

x = 3675/7             Divide

x = 525

Answer: 525 men

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luda_lava [24]
If you don't double check your answers by substituting them back into the original equation, you may be introducing extraneous solutions into the problem which is why you should always check to confirm your answer is accurate. I hope this helps! :)

 

5 0
2 years ago
Anyone know the answer??
olga_2 [115]
No. no i do not so yeah.
5 0
2 years ago
The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below: 9, 8, 12, 6, 10. What is th
cricket20 [7]

Answer:

She wrote 9 pages per day on average

Step-by-step explanation:

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:

Monday = 9

Tuesday =8

Wednesday = 12

Thursday = 6

Friday = 10

Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean =\frac{9+8+12+6+10}{5}

Mean=9

Hence She wrote 9 pages per day on average

4 0
2 years ago
In the Fall STA 2023 Beginning of the Semester Survey, students were asked how many parties they attended every week and how man
Shtirlitz [24]

Answer:

-95.78

Step-by-step explanation:

As the researcher decided to make the number of parties attended per week the explanatory variable, this would be variable x in the regression line, and of course, the variable y would be the number of text messages sent per day.

After constructing the linear regression equation, the researcher found that an approximate value \hat y for the actual value of y could be represented by the line

\hat y=64.96+25.41x

Since this is an approximate value, it is not expected that it coincides with the actual value of y. We define then the residual for each value of x as the difference between the actual value of y and the approximation for the given x.

For the value x = 2 (the student attended 2 parties that week) the actual value of y is 20 (the student sent 20 text messages per day that week).

The approximate value of y would be according to the regression line

\hat y(2)=64.96+25.41(2)=64.96+50.82=115.78

Hence, the residual value for x=2 would be

y_{real}-\hat y=20-115.78=-95.78

5 0
2 years ago
The perimeter of a triangle equals 8 inches. Two of its sides are equal and each of them is 1.3 inches bigger than the third sid
mafiozo [28]
Let's call the lengths of our two types of sides <em />x and y.

The two sides will that our 1.3 inches bigger than the third side will be have length x, and the length of the other side will be known as y. Thus, x = y + 1.3.

Considering this, we can add our sides together and set this value equal to 8, given the information in the problem:
(y + 1.3) + (y + 1.3) + y = 3y + 2.6 = 8

Now, let's solve for y.
3y + 2.6 = 8
3y = 5.4
y = 1.8

Now, we are not done yet. We must determine the true lengths of all of our sides. Using the equation we found earlier, the length of the two bigger sides is y + 1.3 = 1.8 + 1.3 = \boxed{3.1} inches and the length of our smaller side is simply \boxed{1.8} inches.

To verify, we can add these sides together and check that they equal 8:
3.1 + 3.1 + 1.8 = 8 ✔
5 0
2 years ago
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